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1 year ago

There are 20 teachers and 705 students in cory's school. what is the ratio of teachers and students

Mathematics

1 answer:

Aleksandr [31]1 year ago

6 0

We know that ratios can be shown with both fractions and colons.

20:705

$\frac{20}{705}$

It also looks like we can simplify this by dividing by 5.

20/5 = 4

705/5 = 141.

This means that for every 4 teachers, there are 141 students.

The ratio for teachers to students is:

4 : 141

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Keith decided to look for at new and used trucks. Keith found a truck for 45000 dollars. Typically a used truck goes for 40% of

Bond [772]

Answer:

A Used Truck Would Go For Around $18,000

Step-by-step explanation:

A used truck would go for around $18,000.

The reason a used truck would go for around $18,000 dollars is because if a new truck costed $45,000, and a used truck usually goes for around 40% of that, all you have to do is multiply 45,000 by .40 to get 40% of 45,000.

So, in conclusion, a used truck would cost about $18,000 because 40% of $45,000 is $18,000.

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2 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

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2 years ago

Read 2 more answers

Prove the polynomial identity.

Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

$(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}$

$16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}$

$4-16\cdot{x^2}$

4 is the common number and we can take it out of the expression:

$4\cdot{(1-4\cdot{x^2})}$

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

$4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}$

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2 years ago

The area of a rectangle is 36 square centimeters and its length is 9 centimeters

Andrei [34K]

A) 4 cm
B) 9 cm x 12 cm
C) 108 cm

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2 years ago

Please explain and help me with this question.

k0ka [10]

it is so easy

Step-by-step explanation:

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2 years ago